Question

which value of x is not in the solution set shown on the number line? -4.1 -5.3 -6 -4

Explanation:

Step1: Analyze number - line solution set

The arrow on the number - line starts from a point just to the left of - 4 (open - circle) and goes to the left. So the solution set is \(x < - 4\).

Step2: Check each option

• For \(x=-4.1\), since \(-4.1 < - 4\), it is in the solution set.
• For \(x = - 5.3\), since \(-5.3 < - 4\), it is in the solution set.
• For \(x=-6\), since \(-6 < - 4\), it is in the solution set.
• For \(x=-4\), since the circle at - 4 is open, \(x=-4\) is not in the solution set.

Answer:

• 4